Discrete Mathematics and Its Applications, Seventh Edition

Published by McGraw-Hill Education
ISBN 10: 0073383090
ISBN 13: 978-0-07338-309-5

Chapter 6 - Section 6.1 - The Basics of Counting - Exercises - Page 397: 30

Answer

63,273,600

Work Step by Step

By the sum rule we need to add the number of license plates of the first type and the number of license plates of the second type. 1) By the product rule there are 26 . 26 . 26. 10 · 10 · 10 = 17576000 license plates consisting of 3 Uppercase letters followed by 3 digits; and 2) There are 10 · 10 · 26 · 26 · 26 · 26 = 45,697,600 license plates consisting of 4 Uppercase letters followed by 2 digits. Therefore the answer is 17,576,000 + 45,697,600 = 63,273,600
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